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Finding the Fourth Proportional to 566,705.50, 782,053.59 and 312,056.08

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Solution

The fourth proportional to 566,705.50, 782,053.59 and 312,056.08 is: 430,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,705.50 : 782,053.59 = 312,056.08 : x
  2. Step 2: Convert to fraction form
    566,705.50/782,053.59 = 312,056.08/x
  3. Step 3: Cross multiply
    566,705.50x = 782,053.59 × 312,056.08
  4. Step 4: Simplify right side
    566,705.50x = 244,044,577,645.33
  5. Step 5: Solve for x
    x = 244,044,577,645.33/566,705.50
  6. Step 6: Final answer
    x = 430,637.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.